An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms

Simona Costache; Iuliana Zamfir

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 1, page 81-89
  • ISSN: 0066-2216

Abstract

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B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45]. On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds, in Kenmotsu space forms. In this article, we improve the latter inequality for special slant submanifolds in Kenmotsu space forms. We also investigate the equality case.

How to cite

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Simona Costache, and Iuliana Zamfir. "An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms." Annales Polonici Mathematici 110.1 (2014): 81-89. <http://eudml.org/doc/280330>.

@article{SimonaCostache2014,
abstract = { B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45]. On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds, in Kenmotsu space forms. In this article, we improve the latter inequality for special slant submanifolds in Kenmotsu space forms. We also investigate the equality case. },
author = {Simona Costache, Iuliana Zamfir},
journal = {Annales Polonici Mathematici},
keywords = {improved Chen-Ricci inequality; special slant submanifolds; Kenmotsu space forms},
language = {eng},
number = {1},
pages = {81-89},
title = {An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms},
url = {http://eudml.org/doc/280330},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Simona Costache
AU - Iuliana Zamfir
TI - An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 1
SP - 81
EP - 89
AB - B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45]. On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds, in Kenmotsu space forms. In this article, we improve the latter inequality for special slant submanifolds in Kenmotsu space forms. We also investigate the equality case.
LA - eng
KW - improved Chen-Ricci inequality; special slant submanifolds; Kenmotsu space forms
UR - http://eudml.org/doc/280330
ER -

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